Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
type: Item
instance of: scholarly article
title: Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
zbMATH Open document ID: 1030.65008
DOI: 10.1016/S0377-0427(03)00435-7
author: D. Massart
published in: Journal of Computational and Applied Mathematics
publication date: 2003-08-25T00:00:00Z
review text: In curve and surface design it is desirable to have a planar transition curve composed of at most two spiral segments. This paper generalizes earlier results on planar cubic Bézier spiral segments proposed as transition curve elements, and examines techniques for curve design using the new results.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 1970757
zbMATH Keywords: cubic Bézier spiral segments
zbMATH Keywords: curvature extrema
zbMATH Keywords: fair curve
zbMATH Keywords: surface design
zbMATH Keywords: transition curve
zbMATH Keywords: curve design
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
cites work: Q3661894
cites work: Q4256595
cites work: The use of Cornu spirals in drawing planar curves of controlled curvature
cites work: Q4838167
cites work: A planar cubic Bézier spiral
cites work: G\(^{2}\) curves composed of planar cubic and Pythagorean hodograph quintic spirals
full work available at URL: s0377-0427(03)00435-7
OpenAlex ID: W2032370961
description: scientific article; zbMATH DE number 1970757